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Finding the Third Proportional to 321,686 and 687,540

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Solution

The third proportional to 321,686 and 687,540 is: 1,469,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,686 : 687,540 = 687,540 : x
  2. Step 2: Convert to fraction form
    321,686/687,540 = 687,540/x
  3. Step 3: Cross multiply
    321,686x = 687,540 × 687,540
  4. Step 4: Simplify right side
    321,686x = 472,711,251,600
  5. Step 5: Solve for x
    x = 472,711,251,600/321,686
  6. Step 6: Final answer
    x = 1,469,480.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.